Lectures related to Dimensional Analysis & Scaling Laws

Covers Euler's Elastica and the equilibrium shape of a bent beam using variational/energy methods.

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Explores beam buckling, dimensionless analysis, and scalings in mechanics of slender structures.

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Covers continuum bars, elasticity, rods, heat transfer, and structural analysis.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Presents the fundamental principles of moments and beams in structural analysis.

Covers beams with distributed and concentrated forces, bending moment, shear force, and internal load diagrams.

Introduces the basics of structural mechanics, covering static forces, stress, strain, and historical contributions.

Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Covers the fundamentals of beams, including types, stress resultants, and internal load diagrams.

Explores dimensional analysis, scaling laws, physical similarity, and the interdependency of variables in physical systems.

Covers the dimensional reduction in slender structures, constitutive laws, and mechanics of plates and shells.

Explains trajectory determination in mechanics, including types of trajectories and effective potential, with practical examples.

Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.